Recent advances in optical beam shaping have enabled a wide class of structured lights that follow exotic trajectories, opening many routes for numerous applications. Although the Helmholtz equation sets stringent conditions on the fields that can be physically realized, these constraints can be removed if sources can be introduced inside the medium. However, introducing sources is not always possible or practical. Here, we propose an analytical approach that transforms the effects of the required sources from the inside of the medium to its boundaries. The derived boundary conditions can then be used to generate any desired optical field (amplitude and phase). We demonstrate the feasibility of the approach by experimentally generating two optical fields inside a source-free simple medium, demonstrating control over the trajectories, phases, and intensities of the fields.

中文翻译：

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使用源边界转换设计三维光场

光束整形的最新进展已使各种结构化的光能够遵循奇异的轨迹，从而为多种应用开辟了许多途径。尽管Helmholtz方程在可以物理实现的场上设置了严格的条件，但是如果可以在介质内部引入源，则可以消除这些约束。但是，引入资源并非总是可能或不切实际的。在这里，我们提出一种分析方法，将所需来源的影响从介质内部转换为介质边界。然后可以将导出的边界条件用于生成任何所需的光场（幅度和相位）。我们通过在无源的简单介质内实验产生两个光场，证明了对轨迹，相位的控制，证明了该方法的可行性。